en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(1/2)-ln(1/4)

Solution

simplify

ln (\frac{1}{2}) - ln (\frac{1}{4})

Solution

ln (2)

+1

Decimal Notation

0.69314 \dots

Solution steps

ln (\frac{1}{2}) - ln (\frac{1}{4})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (\frac{1}{2}) - ln (\frac{1}{4}) = ln (\frac{\frac{1}{2}}{\frac{1}{4}})

= ln (\frac{\frac{1}{2}}{\frac{1}{4}})

\frac{\frac{1}{2}}{\frac{1}{4}} = 2

= ln (2)

Popular Examples

simplify log_{4}(6x)simplify

lo g_{4} (6 x)

simplify log_{b}((y^3\sqrt[3]{x})/(x^5))simplify

simplify log_{2}(sqrt(36))-log_{2}(72)simplify

lo g_{2} (36) - lo g_{2} (72)

simplify ln((2y-1)/(y-1))simplify

ln (\frac{2 y - 1}{y - 1})

simplify 7log_{6}(x)+14log_{6}(y)simplify

7 lo g_{6} (x) + 14 lo g_{6} (y)

Frequently Asked Questions (FAQ)

What is ln(1/2)-ln(1/4) ?
The solution to ln(1/2)-ln(1/4) is ln(2)